Attractors for second order nonautonomous lattice system with dispersive term

Xiaolin Xiang, Shengfan Zhou

DOI: http://dx.doi.org/10.12775/TMNA.2015.071

Abstract


In this paper, we prove the existence of pullback attractor, pullback exponential attractor and uniform attractor for second order non-autonomous lattice system with dispersive term and time-dependent forces. Then we prove the existence of uniform exponential attractor for the system driven by quasi-periodic external forces.


Keywords


Second order lattice system; dispersive term; pullback attractor; pullback exponential attractor; uniform attractor; uniform exponential attractor

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